M mamom New member Joined Sep 2, 2006 Messages 2 Sep 2, 2006 #1 Need help on how to solve this problem Sally can paint the house in 4 hours. James can paint the house in 6 hours. If they paint it together how long will it take them?
Need help on how to solve this problem Sally can paint the house in 4 hours. James can paint the house in 6 hours. If they paint it together how long will it take them?
M Mrspi Senior Member Joined Dec 17, 2005 Messages 2,127 Sep 2, 2006 #2 Re: Word problem mamom said: Need help on how to solve this problem Sally can paint the house in 4 hours. James can paint the house in 6 hours. If they paint it together how long will it take them? Click to expand... If Sally can paint the house in 4 hours, then each hour, she paints 1/4 of the house. If James can paint the house in 6 hours, then each hour, he paints 1/6 of the house. Now, let x = number of hours they work together. In x hours, Sally paints x/4 of the house, and James paints x/6 of the house. And, what they do together in that x hours is the whole house! So, (x / 4) + (x / 6) = 1 Solve that for x....(hint: multlply both sides of the equation by the common denominator for the fractions)
Re: Word problem mamom said: Need help on how to solve this problem Sally can paint the house in 4 hours. James can paint the house in 6 hours. If they paint it together how long will it take them? Click to expand... If Sally can paint the house in 4 hours, then each hour, she paints 1/4 of the house. If James can paint the house in 6 hours, then each hour, he paints 1/6 of the house. Now, let x = number of hours they work together. In x hours, Sally paints x/4 of the house, and James paints x/6 of the house. And, what they do together in that x hours is the whole house! So, (x / 4) + (x / 6) = 1 Solve that for x....(hint: multlply both sides of the equation by the common denominator for the fractions)
M mamom New member Joined Sep 2, 2006 Messages 2 Sep 2, 2006 #3 is this right? 3x/12 + 2x/12 =1 5x/12=1 5x=12 x=2.4 hours